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Sonbull [250]
2 years ago
7

If a new car is valued at $26,000 and 10 years later it is valued at $7000, then what is the average rate of change

Mathematics
1 answer:
frez [133]2 years ago
7 0

Answer:

The change in value is 19,000 altogether and 1900/year

Step-by-step explanation:

Change in value:

initial value - final value

= $26,000 - $7000

= $19,000

Change in value/year:

change in value/time

= $19,000/10

= $1900/year

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(K3+2k2-82k-28)/(k+10)
Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>

  • -10 | 1 + 2 - 82 - 28
  • ---------------------------

Now firstly, drop the 1:

  • -10 | 1 + 2 - 82 - 28
  •       ↓
  • -------------------------
  •        1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

  • -10 | 1 + 2 - 82 - 28
  •       ↓ - 10
  • -------------------------
  •        1 - 8

Next, multiply -10 and -8, then combine the product with -82:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80
  • -------------------------
  •        1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80 + 20
  • -------------------------
  •        1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

<u>Putting it together, the quotient is k^2-8k-2-\frac{8}{k+10}</u>

8 0
2 years ago
Which is the graph of g(x)? ​
faust18 [17]

Answer: A because its always A

Step-by-step explanation:

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Divide using LONG Division<br> (m? + 2m - 15) + (m + 5)
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Answer:

I hope you got it and it helped you

7 0
2 years ago
What is the domain of the following list of ordered pairs?
Anastasy [175]
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5 0
2 years ago
Read 2 more answers
The radius of a cylindrical tank is 3' and the height is 8'what is the volume
valentinak56 [21]

Answer:

226 cubed foot (rounded to 3 s.f.)

Step-by-step explanation:

Volume of cyclinder: \pi × r² × h

Volume of cylindrical tank = \pi × 3² × 8

                                           = 72\pi

                                           = 226 cubed foot (rounded to 3 s.f.)

7 0
3 years ago
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